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SUMMARY:Shu-Qin Zhang (Zhengzhou University)
DTSTART:20251202T130000Z
DTEND:20251202T140000Z
DTSTAMP:20260423T021341Z
UID:OWNS/158
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/158/">W
 hen the conformal dimension of a self-affine sponge of Lalley type is zero
 </a>\nby Shu-Qin Zhang (Zhengzhou University) as part of One World Numerat
 ion seminar\n\n\nAbstract\nA compact metric space $X$ is uniformly disconn
 ected if there exists $\\delta_0$ such that there is no $\\delta_0$-sequen
 ce\, which is a sequence of points $(x_0\,x_1\,\\dots\,x_n)$ satisfying  $
 \\rho(x_{i-1}\,x_{i})\\leq \\delta_0 \\rho(x_0\,x_n)$ for all $1\\leq i\\l
 eq n$. We present two main results. First\,  we  give a necessary and suff
 icient condition for a diagonal self-affine sponge of Lalley-Gatzouras typ
 e to be uniformly disconnected. Second\, we show that $K$ is uniformly dis
 connected if and only if  the conformal dimension of $K$ is $0$.\n
LOCATION:https://researchseminars.org/talk/OWNS/158/
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